3340633674240 has 960 divisors, whose sum is σ = 12750315177600. Its totient is φ = 835884417024.

The previous prime is 3340633674227. The next prime is 3340633674337. The reversal of 3340633674240 is 424763360433.

3340633674240 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 6 + 336 + 74 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×3340633674240² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1288326384 + ... + 1288328976.

It is an arithmetic number, because the mean of its divisors is an integer number (13281578310).

Almost surely, 2^{3340633674240} is an apocalyptic number.

3340633674240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340633674240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6375157588800).

3340633674240 is an abundant number, since it is smaller than the sum of its proper divisors (9409681503360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3340633674240 is a wasteful number, since it uses less digits than its factorization.

3340633674240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2731 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 45.

The spelling of 3340633674240 in words is "three trillion, three hundred forty billion, six hundred thirty-three million, six hundred seventy-four thousand, two hundred forty".